If there are There are 914.4914.4914, point, 4 millimeters in a yard. There are 333 feet in a yard.
How many millimeters are in a foot?

The solution of the equation N = for the variable d in terms of the variables; N and f as required in the task content is; d = N - f.

It follows from the task content that the equation; N = f + d be solved for the variable d in terms of the variables; N and f.

Since the equation given is;

N = f + d.

In a bid to isolate d; subtract f from both sides of the equation; so that we have;

N - f = d.

Ultimately, the solution of the equation N = for the variable d in terms of the variables; N and f as required in the task content is; d = N - f.

Read more on change of subject;

https://brainly.com/question/264846

#SPJ1

The value of "a" that makes the set of vectors independent is 1.

In 3-dimensional space, a set of vectors is said to be independent if any one of the vectors cannot be represented as a linear combination of the other vectors.

We may utilize the idea of determinants to determine the value of "a" such that the set of vectors "(1, 0, -2), (3, 2, a), (-3, -5, 1)" is independent.

The linear dependence or independence of the given vectors can be assessed using the determinant of a 3x3 matrix, whose columns are the given vectors. If the vectors are linearly dependent, the determinant will be 0; if they are independent, it will be non-zero.

The determinant can be calculated as follows:

| 1 0 -2 |

| 3 2 a |

| -3 -5 1 | = 0

Expanding the determinant along the first row, we get:

1 * ((2 * 1) - (a * -5)) - 0 * ((-3 * 1) - (-2 * -5)) + (-2 * (2 * -3 - a * -3)) = 0

2 - 5a - 6 + 10 + 6a = 0

Expanding the equation and solving for a, we get:

8a = 8

a = 1

Thus, the set of vectors {(1, 0, -2), (3, 2, 1), (-3, -5, 1)} is independent.

So, the value of "a" that makes the set of vectors independent is 1.

To learn more about determinants, visit the link below:

brainly.com/question/13369636

#SPJ4

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:

3/10

Step-by-step explanation:

4+6+10

=20

6/20

=3/10

From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

Learn more on system of linear inequalities here;

https://brainly.com/question/23093488

#SPJ1

Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

Answer:

80 students

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

60% of 500 = 300

72% of 500 = 360

40% of 500 = 200

28% of 500 = 140

300+360 = 660

660 - 2x = 500

660 - 500 = 2x

160 = 2x

2x = 160

x = 80

To summarize the information in a table:

In the column # of ounces of frozen yogurt put in the first cell the 3.0 oz that Jack bought and in the second cell the 5.75 oz that Ian bought.

In the column total cost in dollars put in the first cell the $9.20 that Jack paid and in the second cell the $16.95 that Ian paid

We will have the following:

The extra information that would make triangle POM congruent with triangle NLQ is:

This is the information that would proce that the triangles are congruent.

Answer:

Multiply 2/3 by 4 to make it have the same denominator.

Step-by-step explanation:

This could work for all fractions, you just need to get them to have the same denominator.

Ps. If you were wondering, they are equivalent.

Answer:

14/100*1800

25200/100

252

Step-by-step explanation:

therefore vat=252

Using the binomial distribution, it is found that there is a:

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, we have that:

The probability that exactly 2 out of 8 randomly selected ­Americans own a cat is P(X = 2), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965\)

0.2965 = 29.65% probability that exactly 2 out of 8 randomly selected ­Americans own a cat.

The probability that more than 3 own a cat is given by:

\(P(X > 3) = 1 - P(X \leq 2)\)

In which:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)

Hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8,0}.(0.3)^{0}.(0.7)^{8} = 0.0576\)

\(P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977\)

\(P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965\)

Then:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0576 + 0.1977 + 0.2965 = 0.5518\)

\(P(X > 3) = 1 - P(X \leq 2) = 1 - 0.5518 = 0.4482\)

0.4482 = 44.82% probability that more than 3 own a cat.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

(Choice A) 2(3d+3) & (Choice C) (3d+3)+(3d+3)

Step-by-step explanation:

\(4D + 6 + 2D = 6D + 6 = 2(3D + 3)\) <--- A is correct

\(4D + 6 + 2D = 6D + 6 = 6(D +1)\) < --- B is NOT correct

\(4D + 6 + 2D = 6D + 6 = 3d + 3d + 3 + 3 = (3d + 3)+(3d +3)\) by associative and commutative properties

   so C is correct

A and C are both correct.

Answer:

Choices A and C

Step-by-step explanation:

Start by simplifying the original expression.

4d+6+2d

Combine like terms

6d+6

Now, we can check each expression to see if it is equivalent to 6d+6

Choice A:

2(3d+3)

Distribute the 2

2(3d)+2(3)

6d+6 --> It is equivalent!

Choice B:

6(d+6)

Distribute the 6

6(d)+6(6)

6d+36 --> No, it is not equivalent

Choice C

(3d+3)+(3d+3)

The parentheses aren't necessary so we can take them out.

3d+3+3d+3

Combine like terms

6d+6 --> It is equivalent!

Answer:

36

Step-by-step explanation:

50800-30000=10800/300=36

:)

Answer:

a parallelogram has 4 sides so go through and plot each of the number groups that has 4 digits on a graph and it will show you

Answer:

10000

Step-by-step explanation:

100 hugs x 100 hugs

= 10,000 hugs.

Answer: x= 1.9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The numbers are compared with the inequality symbols as follows:

a. 3 > -3.

b. 12 < 24.

c. -12 > -24.

d. 5 = - (-5).

e. 7.2 > 7.

f. -7.2 < 7.

g. -1.5 = -3/2.

h. -4/5 > -5/4.

i. -3/5 = -6/10.

j. -2/3 < 1/3.

The inequality symbols used in this problem are defined as follows:

The observations to some items are given as follows:

More can be learned about inequalities at https://brainly.com/question/25275758

#SPJ1

Answer:

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.

The fuel efficiency of Ford trucks is found to follow a normal distribution with mean 20 mpg and a standard deviation of 3 mpg.

This means that \(\mu_{F} = 20, \sigma_{F} = 3\)

The fuel efficiency of GM trucks is found to follow a normal distribution with mean 24 mpg and standard deviation of 4 mpg.

This means that \(\mu_{G} = 24, \sigma_{G} = 4\)

Compute the probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

This is the probability that the subtraction of ford by gm is less than 0. First, we find the mean and the standard deviation.

\(\mu = \mu_{F} - \mu_{G} = 20 - 24 = -4\)

\(\sigma = \sqrt{\sigma_{F}^2+\sigma_{G}^2} = \sqrt{3^2+4^2} = 5\)

This probability is the pvalue of Z when X = 0. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{0 - (-4)}{5}\)

\(Z = 0.8\)

\(Z = 0.8\) has a pvalue of 0.7881

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

The amount that would be in the account when Alana is 21  is $2890

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

Learn more about simple interest at: https://brainly.com/question/20690803

#SPJ1

\(\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_8(x)-\log_8(7)=\log_8\left( \cfrac{5}{7} \right)\implies \log_8(\stackrel{x }{5})-\log_8(7)=\log_8\left( \cfrac{5}{7} \right)\)

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

Answer:

x = 9°

y = 119°

Step-by-step explanation:

Given,

y° = 61°+58° { the exterior angle formed by producing the side of triangle is equal to two non-adjacent angle}

or, y° = 119°

therefore, y° = 119°

Now,

52°+y°+x° = 180°{the sum of angle if triangle is 180°}

or, 52°+119°+x°= 180°

or, 171°+x° = 180°

or, x° = 180°-171°

or, x° = 9°

therefore, x° = 9°

Answer:

19.634954085

Step-by-step explanation:

Pipe Diameter = Height of the trench

Pipe Height = Width of the trench

V = Pi*r^2*L/ Pi*r^2*h

= 22/7 x (2.5/2)^2 x 4

= 19.634954085

9514 1404 393

Answer:

  d = 2.5 ft

Step-by-step explanation:

Similar figures have proportional linear measures.

  diameter/height = d/1 = 10/4

  d = 5/2 = 2.5 . . . . feet

Answer:

Option D

Step-by-step explanation:

x is given to be 4 in this case, so all we would have to is plug it into the following function -

\(f ( x ) = \left \{ {{x - 2, x < 4 } \atop {x + 2, x \geq 4 }} \right\)

Through substitution, you would receive the following function -

\(f ( x ) = \left \{ {{2, 4 < 4 } \atop 6, 4 \geq 4 }} \right\)

Now the graph proves that this function is closer to 4, and thus proves that the y - coordinate is about 2 at the same time. However, the graph is cut off, so the limit doesn't exists.